Results 11 to 20 of about 1,291,812 (281)

Functional integral for non-Lagrangian systems [PDF]

open access: yes, 2010
A novel functional integral formulation of quantum mechanics for non-Lagrangian systems is presented. The new approach, which we call "stringy quantization," is based solely on classical equations of motion and is free of any ambiguity arising from ...
D. Kochan   +5 more
core   +2 more sources

The Microcanonical Functional Integral. I. The Gravitational Field [PDF]

open access: yes, 1992
The gravitational field in a spatially finite region is described as a microcanonical system. The density of states $\nu$ is expressed formally as a functional integral over Lorentzian metrics and is a functional of the geometrical boundary data that are
B. Carter   +27 more
core   +3 more sources

String Propagator: a Loop Space Representation [PDF]

open access: yes, 1995
The string quantum kernel is normally written as a functional sum over the string coordinates and the world--sheet metrics. As an alternative to this quantum field--inspired approach, we study the closed bosonic string propagation amplitude in the ...
A. Aurilia   +17 more
core   +2 more sources

Weak approximation rates for integral functionals of Markov processes

open access: yesModern Stochastics: Theory and Applications, 2015
We obtain weak rates for approximation of an integral functional of a Markov process by integral sums. An assumption on the process is formulated only in terms of its transition probability density, and, therefore, our approach is not strongly dependent ...
Iurii Ganychenko, Alexei Kulik
doaj   +1 more source

Integrals involvingE-functions [PDF]

open access: yesMathematische Zeitschrift, 1958
1. Introductory. The following two integrals will be established in § 2.If m is a positive integer, if p ≧ q + 1 and if R(ar+kt) > 0 (r = 1, 2,…, p, t = 1, 2,…, m),where co is 1 or e±in according as m is even or odd, the dash denotes that the factor sin (k,–k,)π does not appear and the asterisk that the parameter kt–kt + 1 is omitted.
openaire   +2 more sources

Rates of approximation of nonsmooth integral-type functionals of Markov processes

open access: yesModern Stochastics: Theory and Applications, 2014
We provide strong $L_{p}$-rates of approximation of nonsmooth integral-type functionals of Markov processes by integral sums. Our approach is, in a sense, process insensitive and is based on a modification of some well-developed estimates from the theory
Iu. Ganychenko, A. Kulik
doaj   +1 more source

Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals

open access: yesAdvances in Difference Equations, 2020
The main aim of this present paper is to establish fractional conformable inequalities for the weighted and extended Chebyshev functionals. We present some special cases of our main result in terms of the Riemann–Liouville fractional integral operator ...
Asifa Tassaddiq   +3 more
doaj   +1 more source

On the weighted fractional integral inequalities for Chebyshev functionals

open access: yesAdvances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman   +4 more
doaj   +1 more source

Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
doaj   +1 more source

Axiomatizations of signed discrete Choquet integrals [PDF]

open access: yes, 2010
We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lov\'asz extension of a pseudo-Boolean function which vanishes at the origin.
Cardin, Marta   +3 more
core   +4 more sources

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